Search a number
-
+
4000343022 = 2321341416963
BaseRepresentation
bin1110111001110000…
…0110001111101110
3101022210100110222200
43232130012033232
531143041434042
61500541122330
7201063232434
oct35634061756
911283313880
104000343022
1117730a8a15
129378593a6
134b9a118a0
1429d402d54
151862e1c4c
hexee7063ee

4000343022 has 48 divisors (see below), whose sum is σ = 9561818448. Its totient is φ = 1200850560.

The previous prime is 4000343021. The next prime is 4000343029. The reversal of 4000343022 is 2203430004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4000342986 and 4000343004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000343021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198888 + ... + 218075.

It is an arithmetic number, because the mean of its divisors is an integer number (199204551).

Almost surely, 24000343022 is an apocalyptic number.

4000343022 is an abundant number, since it is smaller than the sum of its proper divisors (5561475426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000343022 is a wasteful number, since it uses less digits than its factorization.

4000343022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417025 (or 417022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4000343022 is about 63248.2649722504. The cubic root of 4000343022 is about 1587.4464267948.

Adding to 4000343022 its reverse (2203430004), we get a palindrome (6203773026).

The spelling of 4000343022 in words is "four billion, three hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 416963 833926 1250889 2501778 3752667 5420519 7505334 10841038 16261557 17095483 32523114 34190966 48784671 51286449 97569342 102572898 153859347 222241279 307718694 444482558 666723837 1333447674 2000171511 4000343022